Piecewise Functions - 1

Calculus Level 2

Let a function \(f: \mathbb{R} \rightarrow \mathbb{R}\) be defined as:

\[f(x) = \begin{cases} x + 2, & \text{if } x \leq a \\ x^2+ 5x + 6, & \text{if } x > a. \end{cases} \]

Find the value of \(a\) such that \(f\) is continuous for all real values of \(x\).


This problem is part of the set - Piecewise-defined Functions

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